\(W_1\)  and \(W_2\)  are associated with \(\mathcal {G}\) . \(W_1(W_2) = [w_{ij}]\)  can be constructed as: \(w_{ii}>0\) ; \(w_{ij}>0\)  if \((i, j) \in \mathcal {E}\) , otherwise \(w_{ij}=0\) . Based on this constructed rule, \(W_1\)  and \(W_2\)  are primitive if \(\mathcal {G}\)  is strongly connected.
Given W, \(W_1\)  and \(W_2\)  have the following property [1]}:

1 = W1-1n (0,1),
